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Some fundamental considerations to precede image analysis

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Abstract

This paper explains the different types of specimens which are of a deterministic or stochastic nature. Especially for stochastic specimens it is pointed out that, before any measurement is done, the problem has to be analyzed as to why we measure. As a size per se does not exist it is shown that particles must be analyzed by size and shape. For this, two methods are indicated, while it is stressed that in materials science the Delfiner approach for description of particle sizes is the most practicable.

Based on Delfiner’s concept of size the classification of particles according to their size, shape and orientation is explained. For measuring use of the image transformationserosion, ouverture is proposed. In addition, a new transformation called “Template matching” is explained. This new transformation avoids the disadvantages of erosion and ouverture in case of concave particles. Besides, template matching, in contrast to erosion or ouverture, is able to give true values of area and circumference. The concept of classification is explained by simple examples.

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References

  • Delfiner P 1972J. Microsc. 95 203

    Google Scholar 

  • Haas A, Matheron G and Serra J 1967aAnn. Mines XI 736

  • Haas A, Matheron G and Serra J 1967bAnn. Mines XII 767

  • Hadwiger H 1950Math. Z. 53 210

    Article  Google Scholar 

  • Matheron G 1967Elements pour une Theorie des Milieux Poureux (Paris: Masson)

    Google Scholar 

  • Müller W 1973Leitz Mittlg. Suppl. 1 101

    Google Scholar 

  • Meschkowski H and Ahrens I 1974Theorie der Punktmengen, Bi-Wissenschaftsverlag, Mannheim

    Google Scholar 

  • Nawrath R and Serra J 1979Microsc. Acta 82 101

    Google Scholar 

  • Serra J 1969Introduction a la Morphologie Mathematique Cahier du Centre de Morphologie, Mathematique ENSMP No. 3

  • Serra J 1982Image analysis and mathematical morphology (New York: Academic Press)

    Google Scholar 

  • Vollath D 1979aLeitz-Mitt. Wiss. Tech. 7 129

    Google Scholar 

  • Vollath D 1979bJ. Nucl. Mater. 81 115

    Article  CAS  Google Scholar 

  • Vollath D 1981J. Microsc. 122 35

    Google Scholar 

  • Vollath D 1982J. Nucl. Mat. 10 71

    Article  Google Scholar 

  • Vollath D 1982Prakt. Metallogr. 19 7, 94

    Google Scholar 

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Vollath, D. Some fundamental considerations to precede image analysis. Bull. Mater. Sci. 8, 169–182 (1986). https://doi.org/10.1007/BF02744181

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  • DOI: https://doi.org/10.1007/BF02744181

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